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12343432201 = 24124612
BaseRepresentation
bin10110111111011100…
…11101010000001001
31011212020100022202121
423133232131100021
5200234404312301
65400454331241
7614611304542
oct133756352011
934766308677
1012343432201
115264600341
122485959b21
13121935b449
148514994c9
154c39ad3a1
hex2dfb9d409

12343432201 has 9 divisors (see below), whose sum is σ = 12421807509. Its totient is φ = 12265550400.

The previous prime is 12343432181. The next prime is 12343432217. The reversal of 12343432201 is 10223434321.

The square root of 12343432201 is 111101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 80084601 + 12263347600 = 8949^2 + 110740^2 .

It is not a de Polignac number, because 12343432201 - 211 = 12343430153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12343435201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26775111 + ... + 26775571.

Almost surely, 212343432201 is an apocalyptic number.

12343432201 is the 111101-st square number.

12343432201 is the 55551-st centered octagonal number.

It is an amenable number.

12343432201 is a deficient number, since it is larger than the sum of its proper divisors (78375308).

12343432201 is an frugal number, since it uses more digits than its factorization.

12343432201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Multiplying 12343432201 by its sum of digits (25), we get a square (308585805025 = 5555052).

Adding to 12343432201 its reverse (10223434321), we get a palindrome (22566866522).

It can be divided in two parts, 1234343 and 2201, that added together give a square (1236544 = 11122).

The spelling of 12343432201 in words is "twelve billion, three hundred forty-three million, four hundred thirty-two thousand, two hundred one".

Divisors: 1 241 461 58081 111101 212521 26775341 51217561 12343432201